13305404 has 36 divisors (see below), whose sum is σ = 27350064. Its totient is φ = 5548032.

The previous prime is 13305389. The next prime is 13305421. The reversal of 13305404 is 40450331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51644 + ... + 51900.

It is an arithmetic number, because the mean of its divisors is an integer number (759724).

Almost surely, 2^13305404 is an apocalyptic number.

13305404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13305404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13675032).

13305404 is an abundant number, since it is smaller than the sum of its proper divisors (14044660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13305404 is a wasteful number, since it uses less digits than its factorization.

13305404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 13305404 is about 3647.6573303971. The cubic root of 13305404 is about 236.9605351273.

Adding to 13305404 its reverse (40450331), we get a palindrome (53755735).

The spelling of 13305404 in words is "thirteen million, three hundred five thousand, four hundred four".